We're dividing 153588 by 53 
Our goal is to divide 153588 by 53.

Going ahead to step 1:
If we divide 1 by 53, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 53

Step 2:
If we divide 15 by 53, we get 0 and a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 53

Going ahead to step 3:
The number 53 fits into 153 2 times, leaving a remainder of 47.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 47 after subtracting 106 from 153.
Take the next digit (5) from the dividend and append it to 47, then repeat: 475 / 53

Let's proceed to step 4:
When dividing 475 by 53, we get 8 with a remainder of 51.
Use 8 as the next digit of our solution. 
Result so far: 28.0
If we take 424 away from 475, we end up with 51.
Take the next digit (8) from the dividend and append it to 51, then repeat: 518 / 53

Step 5:
If we divide 518 by 53, we get 9 and a remainder of 41.
Record the quotient 9 as the next digit in the result. 
Result so far: 289.0
The remainder is 41 after subtracting 477 from 518.
Bring next digit (8) of the dividend behind the 41 and repeat the process: 418 / 53

Advancing to step 6:
If we divide 418 by 53, we get 7 and a remainder of 47.
Record the quotient 7 as the next digit in the result. 
Result so far: 2897.0
If we take 371 away from 418, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 7:
When dividing 470 by 53, we get 8 with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 2897.8
If we subtract 424 from 470, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
53 goes into 460 8 times with a remainder of 36.
The next digit of our result is 8. 
Result so far: 2897.88
The remainder is 36 after subtracting 424 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final outcome is 2897.88, with a leftover of 0.036.